What is (y^2)/8-(x^2)/5 =1 ?

The solution to (y^2)/8-(x^2)/5 =1 is Hyperbola with (h,k)=(0,0),a=2sqrt(2),b=sqrt(5)

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(y^2)/8-(x^2)/5 =1

\frac{y ^{2}}{8} - \frac{x ^{2}}{5} = 1

(h, k) = (0, 0), a = 22, b = 5

Solution steps

\frac{y ^{2}}{8} - \frac{x ^{2}}{5} = 1

Rewrite

\frac{y ^{2}}{8} - \frac{x ^{2}}{5} = 1

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( 2 2 ) ^{2}} - \frac{( x - 0 ) ^{2}}{( 5 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 22, b = 5

7 x^{2} - 24 y^{2} = 41

9 y^{2} - 4 x^{2} - 36 y - 8 x = 4

- x^{2} + y^{2} - 8 y - 9 = 0

\frac{2 x ^{2}}{25} - \frac{( y - 3 ) ^{2}}{49} = 1

9 x^{2} - y^{2} - 54 x + 45 = 0

What is (y^2)/8-(x^2)/5 =1 ?
The solution to (y^2)/8-(x^2)/5 =1 is Hyperbola with (h,k)=(0,0),a=2sqrt(2),b=sqrt(5)